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Three dice having digits 1, 2, 3, 4, 5 and 6 on their faces are marked I, II and III and rolled. Let x, y and z represent the number on die-I die-II and die-III respectively. What is the number of possible outcomes such that x > y > z?
  • a)
    14
  • b)
    16
  • c)
    18
  • d)
    20
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Three dice having digits 1, 2, 3, 4, 5 and 6 on their faces are marked...
Three dice having digits 1, 2, 3, 4, 5 and 6 on their faces are rolled.
No. of possible outcomes
= 10 + 6 + 3 + 1 
= 20
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Most Upvoted Answer
Three dice having digits 1, 2, 3, 4, 5 and 6 on their faces are marked...
To find the number of possible outcomes such that x < y="" />< z,="" we="" need="" to="" count="" the="" number="" of="" ways="" we="" can="" choose="" three="" distinct="" numbers="" from="" the="" set="" {1,="" 2,="" 3,="" 4,="" 5,="" />

This can be done using combinations. The number of ways to choose three distinct numbers from a set of six is given by the formula C(6, 3) = 6! / (3! * (6-3)!) = 20.

Therefore, there are 20 possible outcomes such that x < y="" />< z.="" />
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Three dice having digits 1, 2, 3, 4, 5 and 6 on their faces are marked I, II and III and rolled. Let x, y and z represent the number on die-I die-II and die-III respectively. What is thenumber of possible outcomes such that x > y > z?a)14b)16c)18d)20Correct answer is option 'D'. Can you explain this answer?
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Three dice having digits 1, 2, 3, 4, 5 and 6 on their faces are marked I, II and III and rolled. Let x, y and z represent the number on die-I die-II and die-III respectively. What is thenumber of possible outcomes such that x > y > z?a)14b)16c)18d)20Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Three dice having digits 1, 2, 3, 4, 5 and 6 on their faces are marked I, II and III and rolled. Let x, y and z represent the number on die-I die-II and die-III respectively. What is thenumber of possible outcomes such that x > y > z?a)14b)16c)18d)20Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three dice having digits 1, 2, 3, 4, 5 and 6 on their faces are marked I, II and III and rolled. Let x, y and z represent the number on die-I die-II and die-III respectively. What is thenumber of possible outcomes such that x > y > z?a)14b)16c)18d)20Correct answer is option 'D'. Can you explain this answer?.
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